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13876488 = 2333173779
BaseRepresentation
bin110100111011…
…110100001000
3222002222222000
4310323310020
512023021423
61213231000
7225643143
oct64736410
928088860
1013876488
11791867a
124792460
132b4b152
141bb305a
151341843
hexd3bd08

13876488 has 64 divisors (see below), whose sum is σ = 40824000. Its totient is φ = 4352256.

The previous prime is 13876477. The next prime is 13876493. The reversal of 13876488 is 88467831.

13876488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1783 + ... + 5561.

It is an arithmetic number, because the mean of its divisors is an integer number (637875).

Almost surely, 213876488 is an apocalyptic number.

13876488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13876488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20412000).

13876488 is an abundant number, since it is smaller than the sum of its proper divisors (26947512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13876488 is a wasteful number, since it uses less digits than its factorization.

13876488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 3801 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 13876488 is about 3725.1158371251. The cubic root of 13876488 is about 240.3033663753.

It can be divided in two parts, 1387 and 6488, that added together give a triangular number (7875 = T125).

The spelling of 13876488 in words is "thirteen million, eight hundred seventy-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 3779 7558 11337 15116 22674 30232 34011 45348 64243 68022 90696 102033 128486 136044 192729 204066 256972 272088 385458 408132 513944 578187 770916 816264 1156374 1541832 1734561 2312748 3469122 4625496 6938244 13876488